The Leaning Tower of Pisa is 56.84 meters long. In the 1990’s, engineers restored the building so that angle y changed from 5.5° to 3.99°. To the nearest hundredth of a meter, how much did the restoration change the height of the Leaning Tower of Pisa?
The height of the tower is adjacent to ∠ y.
The length of the tower is the hypotenuse of the triangle created. adjacent ——————— = cosine of ∠y hypotenuse Let x be the height of the tower (the adjacent side to angle y). If the angle was 5.5°, x —————— = cos 5.5° 56.84 x —————— ≈ 0.995396198367 {evaluated cosine of 5.5°} 56.84 x ≈ 56.58 {multiplied each side by 56.84} If the angle was 3.99°, x —————— = cos 3.99° 56.84 x —————— ≈ 0.997576209867 {evaluated cosine of 3.99°} 56.84 x ≈ 56.7 {multiplied each side by 56.84} Change in height = 56.7  56.58 = 0.12 m Ask Algebra House Comments are closed.

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